If the fabric is a machine-washable linen, making a loose slipcover that can be tucked in and out of a geometrically shaped headboard is a great option. What’s more, you can always leave the seams visible, in a colour that contrasts with the fabric.
If, on the other hand, the fabric is velvet or any other type of upholstery textile (with a high abrasion or resistance index, a Martindale above 30,000), the classic padded upholstery with tacks is also a great option, and you can choose geometric or stately styles.